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Simplifying 2(3x + -4 + -10) = 5(x + 4) Reorder the terms: 2(-4 + -10 + 3x) = 5(x + 4) Combine like terms: -4 + -10 = -14 2(-14 + 3x) = 5(x + 4) (-14 * 2 + 3x * 2) = 5(x + 4) (-28 + 6x) = 5(x + 4) Reorder the terms: -28 + 6x = 5(4 + x) -28 + 6x = (4 * 5 + x * 5) -28 + 6x = (20 + 5x) Solving -28 + 6x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -28 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x -28 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + 1x = 20 + 0 -28 + 1x = 20 Add '28' to each side of the equation. -28 + 28 + 1x = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 20 + 28 1x = 20 + 28 Combine like terms: 20 + 28 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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